Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Step  1  :

Equation at the end of step  1  :

  (3x2 -  5x) -  50

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  3x²-5x-50 

The first term is,  3x²  its coefficient is  3 .
The middle term is,  -5x  its coefficient is  -5 .
The last term, "the constant", is  -50 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -50 = -150 

Step-2 : Find two factors of  -150  whose sum equals the coefficient of the middle term, which is   -5 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  10 
                     3x² - 15x + 10x - 50

Step-4 : Add up the first 2 terms, pulling out like factors :
                    3x • (x-5)
              Add up the last 2 terms, pulling out common factors :
                    10 • (x-5)
Step-5 : Add up the four terms of step 4 :
                    (3x+10)  •  (x-5)
             Which is the desired factorization

Final result :

  (x - 5) • (3x + 10)